For which values of x is the inequality 2(1 + x) > x + 8 true?
1 answer:
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Answer:
The maximum revenue is $1,20,125 that occurs when the unit price is $155.
Step-by-step explanation:
The revenue function is given as:
where p is unit price in dollars.
First, we differentiate R(p) with respect to p, to get,
Equating the first derivative to zero, we get,
Again differentiation R(p), with respect to p, we get,
At p = 155
Thus by double derivative test, maxima occurs at p = 155 for R(p).
Thus, maximum revenue occurs when p = $155.
Maximum revenue
Thus, maximum revenue is $120125 that occurs when the unit price is $155.
Answer:
nickels = 12
quarters = 9
Step-by-step explanation:
Let number of quarters be "q", and
number of nickels be "n"
Nickels are worth $0.05 and Quarters are worth $0.25
Since all of them are worth 2.85, we can write:
0.25q + 0.05n = 2.85
Also, we know, there are 3 more nickels than quarters, so we can write:
n = 3 + q
Now, we can substitute equation 2 into equation 1 to get:
Now, we solve for q:
There are 9 quarters.
We know n = 3 + q
So,
n = 3 + 9
n = 12
There are 12 nickels